Design Op Amp Circuit: Low-Pass Filter to G(s)=10/(s+10)

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SUMMARY

The discussion focuses on designing an operational amplifier (op amp) circuit that functions as a low-pass filter with the transfer function G(s) = 10/(s + 10). The consensus is to utilize the non-inverting operational amplifier configuration due to the absence of a negative sign in the transfer function. A solution involves using a passive R-C low-pass filter, buffering the output with a voltage follower, and employing four resistors and two capacitors, where two resistors are ten times the value of the other two. The input is connected to the non-inverting input of the op amp.

PREREQUISITES
  • Understanding of operational amplifier configurations (inverting and non-inverting)
  • Knowledge of transfer functions in control systems
  • Familiarity with passive R-C low-pass filter design
  • Basic circuit analysis skills
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  • Study non-inverting operational amplifier design principles
  • Learn about passive R-C filter design and its applications
  • Explore the concept of voltage followers and their role in circuit buffering
  • Investigate the impact of resistor and capacitor values on filter performance
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Electrical engineering students, circuit designers, and hobbyists interested in op amp applications and filter design techniques.

MEM33
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Homework Statement


Design an op amp circuit that acts as low-pass filter with the following transfer function

G(s) = 10/(s +10)

Homework Equations



Inverting operational amplifier Vo(s)/Vi(s) = Z2(s)/Z1(s)

Non-inverting operational amplifier Vo(s)/Vi(s) = Z1(s) + Z2(s)/ Z1(s)

The Attempt at a Solution



The fact that there is no negative sign in the transfer function leads me to believe I need to use the non-inverting equation, but I can't seem to find any combination of components that cancel out and gives me the given transfer function.
 
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I think you can get that single pole with a passive R-C low-pass filter. Can you buffer its output with a voltage follower?
 


Takes 4 R's and 2 C's. The two C's have the same value, and 2 of the R's are 10 times the value of the other two. Yes, the input is via the + op amp input pin.
 

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